Finding the Fourth Proportional to 1,189.97, 1,785.41 and 496.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.97 : 1,785.41 = 496.59 : x
2. Step 2: Convert to fraction form
   1,189.97/1,785.41 = 496.59/x
3. Step 3: Cross multiply
   1,189.97x = 1,785.41 × 496.59
4. Step 4: Simplify right side
   1,189.97x = 886,610.83
5. Step 5: Solve for x
   x = 886,610.83/1,189.97
6. Step 6: Final answer
   x = 745.07